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An Elementary Approach to NP-Completeness.

Peer reviewed

Austin, A. Keith – American Mathematical Monthly, 1983

A traveling salesman problem is used to illustrate the key idea in a general proof of a reduction technique. It is reduced to a problem in propositional calculus. (MNS)

Descriptors: Calculus, College Mathematics, Higher Education, Mathematics Instruction

How Fast Can You Watch?

Peer reviewed

Austin, Joe Dan – Mathematics Teacher, 1980

The article presents and discusses an optimization problem concerned with observing objects from a moving car. (MK)

Descriptors: Calculus, Mathematical Applications, Mathematics Instruction, Problem Solving

A Trigonometric Solution to a Minimum Time Problem.

Peer reviewed

Shiflett, Ray C.; Shultz, Harris S. – Mathematics Teacher, 1984

How min-max problems can be solved with trigonometry and without calculus is described. (MNS)

Descriptors: Calculus, College Mathematics, Higher Education, Mathematics